Email this article New approach to optimality conditions for degenerate nonlinear programming problems
- Authors: Brezhneva O.A.1, Tret’yakov A.A.2,3,4
-
Affiliations:
- Department of Mathematics
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”
- System Research Institute
- University of Podlasie
- Issue: Vol 93, No 2 (2016)
- Pages: 166-169
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223485
- DOI: https://doi.org/10.1134/S1064562416020125
- ID: 223485
Cite item
Open Access
Access granted
Subscription Access
Abstract
In the work, a new approach to constructing optimality conditions for degenerate smooth optimization problems with inequality constraints is proposed. The approach is based on the theory of p-regularity. A special case of degeneracy, when the first derivatives of some function-constraints are equal to zero up to some order, is considered. Optimality conditions for the general case of degeneracy with p = 2 are presented. Proposed constructions and optimality conditions are illustrated by an example. A general case of degeneracy is considered and optimality conditions for the case of p ≥ 2 are proposed.
About the authors
O. A. Brezhneva
Department of Mathematics
Author for correspondence.
Email: brezhnoa@miamioh.edu
United States, Oxford
A. A. Tret’yakov
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”; System Research Institute; University of Podlasie
Email: brezhnoa@miamioh.edu
Russian Federation, ul. Vavilova 40, Moscow, 119333; Warsaw; Siedlce
